Questions
Questions

MAT-265-OD24-02-7799 Prior Knowledge Check

Multiple fill-in-the-blank

Find the Domain Find the domain of the function. g(x)=x+3x2−81\displaystyle g\left(x\right)=\frac{x+3}{x^2-81} The domain is (−∞,(-\infty,[Fill in the blank] )∪()\cup([Fill in the blank] ,[Fill in the blank] )∪()\cup([Fill in the blank] ,∞),\infty)

View Explanation

View Explanation

Verified Answer
Please login to view
Step-by-Step Analysis
We start by identifying the domain of g(x) = (x + 3) / (x^2 − 81). The denominator x^2 − 81 factors as (x − 9)(x + 9), so the function is undefined where the denominator is zero, i.e., at x = 9 and x = −9. Therefore, these two values must be excluded from the domain. Next, we express the domain as a un......Login to view full explanation

Log in for full answers

We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!

Similar Questions

Part 1Find the domain of the function ​f(x)equals=StartFraction x squared minus 4 Over x squared minus 9 EndFractionx2−4x2−9. Part 1The domain is [input]enter your response here .​(Type your answer in interval​ notation.)

Find the domain of the function.  Write your answer in interval notation.  Use inf for .

What is the domain of the following function? \[f(x) = \sqrt {\frac {19 x}{x^{2} - 36}}\]

State the domain of the following function in the graph below. (K:1)

More Practical Tools for Students Powered by AI Study Helper

Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!